Finding the Third Proportional to 178,858 and 379,039.25

Step by Step Solution

1. Step 1: Write the proportion equation
   178,858 : 379,039.25 = 379,039.25 : x
2. Step 2: Convert to fraction form
   178,858/379,039.25 = 379,039.25/x
3. Step 3: Cross multiply
   178,858x = 379,039.25 × 379,039.25
4. Step 4: Simplify right side
   178,858x = 143,670,753,040.56
5. Step 5: Solve for x
   x = 143,670,753,040.56/178,858
6. Step 6: Final answer
   x = 803,267.13